 | Royal Society (Great Britain) - 1809 - 792 σελίδες
...described about the same circle, on the same principles as the preceding. PROP. 3. The square of the side of an equilateral triangle, inscribed in a circle, is equal to o rectangle under the diameter of the circle, and a perpendicular let fall from any angle of the triangle... | |
 | Charles William Hackley - 1847 - 248 σελίδες
...given square, so as to form an equilateral and equiangular octagon. 38. Prove that the square of the side of an equilateral triangle, inscribed in a circle, is equal to three times the square of the radius. 39. To draw straight lines from the extremities of a chord to... | |
 | Charles Hutton - 1860 - 1020 σελίδες
...angles of a given square, so as to fora an equilateral and equiangular octagon. (29.) The square of the side of an equilateral triangle, inscribed in a circle, is equal to three times the square of the radius. (30.) To draw straight lines from the extremities of a chord... | |
 | Euclides - 1862 - 140 σελίδες
...equilateral triangle inscribed in a circle is equal to three-fourths of the square of the dia meter. 4. The side of an equilateral triangle inscribed in a circle is equal to the perpendicular of an equilateral triangle described on the diameter. 5. If tangents be drawn through... | |
 | Samuel H. Winter - 1864 - 348 σελίδες
...and a regular decagon, inscribed in the same circle, is equal to the square on the radius. 12. The side of an equilateral triangle inscribed in a circle is equal to a diagonal of a rhombus, each of whose sides is the radius of the circle. 13. If А, в, с are the... | |
 | Edward Olney - 1872 - 562 σελίδες
...at the common point, the points being on the opposite side of the tangent from the circle. 641. The side of an equilateral triangle inscribed in a circle is equal to the diagonal of a rhombus, whose other diagonal and each of whose sides are equal to the radius. 642.... | |
 | Edward Olney - 1872 - 96 σελίδες
...circumference, their sum is least when they make equal angles with a tangent at the common point. . The side of an equilateral triangle inscribed in a circle is equal to the diagonal of a rhombus,, whose other diagonal and each of whose sides are equal to the radius. 642.... | |
 | Edward Olney - 1872 - 102 σελίδες
...circumference, their sum is least when they make equal angles with a tangent at the common point. 641. The side of an equilateral triangle inscribed in a circle is equal to the diagonal of a rhombus, whose other diagonal and each of whose sides are equal to the radius. 642.... | |
 | Euclides - 1874 - 342 σελίδες
...that they will form an equilateral triangle, whose area is four times the former. 8. The square on the side of an equilateral triangle inscribed in a circle is equal to three-fourths of the square on the diameter. 9. If an equilateral triangle be inscribed in a circle, and the adjacent... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...joining the corresponding extremities, triangles which shall be equiangular. 37. The square of the side of an equilateral triangle, inscribed in a circle, is equal to three times the square of the radius. 38. If from any point in the diameter of a semicircle, two straight... | |
| |
The side of an equilateral triangle inscribed in a circle is equal to the diagonal of a rhombus,, whose other diagonal and each of whose sides are equal to the radius. 642. If two circumferences intersect each other, and from either point of intersection... 
